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10 ways to...Control rheology by changing particle properties (Size, Zeta potential and Shape)Many materials in use today are disperse systems where one substance (often particulate) is dispersed in another phase. These material types include adhesives, agrochemicals, cement, ceramics, colloids, cosmetics and personal care formulations, food and drink, mining and mineral slurries, paints, inks and surface coatings, pharmaceuticals and polymer systems. For example:-In the inks industry, the understanding of rheology and particle properties allows solid pigment content to be changed in different formulations whilst maintaining the critical rheological characteristics required for optimised printing. In the cement industry, the understanding of rheology and particle properties, such as the aggregate morphology, allows ow behaviour during processing and application to be controlled.In the Cosmetics and Personal Care industries, it is essential to understand the relationship between rheology and particle properties to provide the optimum balance in terms of formulation, consumer acceptance and application performance.The physical properties of the dispersed particles, such as the average particle size, the size distribution, the zeta potential or charge on the particles and even the shape of the particles all help inuence the overall (bulk) materials properties such as the rheology.This Ten Ways guides you through some of the fundamental properties of the dispersed system, and demonstrates how these affect the rheological properties. Whereas it in interesting to understand the bulk material properties, such as rheology, which are associated with the changes in the particle size, shape and zeta potential, these examples will also demonstrate that this understanding allows the rheology of the material to be controlled. For a constant volume fraction, when the particle size is decreased, the number of particles increases. Therefore, the number of particle-particle interactions increases, so the viscosity of a sample typically increases. As particle-particle interactions are weak forces, the effect is seen more at low shear rates.

Decrease the particle size and the viscosity generally increases.1Ten Ways to..Control Rheology by Changing Particle PropertiesConversely, if the particle size is increased, this leads to a smaller number of particle-particle interactions. Again, due to the weak nature of this association, the effect is seen most dramatically at low shears.

Increase the particle size and the viscosity generally decreases.2Particles which have a wide span / distribution (large polydisperity) tend to pack better than a system of particles of all the same size (a narrow distribution). This basically means that a wide distribution of particles has more free space to move around, which therefore means it is easier for the sample to ow, i.e. a lower viscosity. So, tightening up the particle distribution can increase the stability of a system.For example, on keeping the volume fraction the same, a sample of relatively large particles with a small proportion of small particles will have a viscosity lower than either the small particles or large particles alone.This is basically due to the two competing effects of changing the number of particle-particle interactions on changing the size and also changing the polydispersity. Both affect the viscosity, however, in this case, the effect of polydispersity dominates at one particular ratio.The effect on the viscosity of particle size and particle size distribution can be used in combination for some interesting effects. 4Increase the particle size distribution (span) and the viscosity decreases.3Ensuring the particle size is constant, where more and more particles are introduced the ow behaviour will generally go from Newtonian (so few particles that they do not interact with each other), to shear thin (now the particles can interact, but the forces are so small that this interaction can be broken down with an increasing shear rate, therefore a shear thinning property), to shear thickening (where there are so many particles that on increasing the shear rate the particles now start to physically collide with each other which causes a shear thickening effect).Increasing the number of particles in a system to change the ow behaviour.5As the zeta potential is increased, the particles are forced to stay away from each other. This is basically preventing the particles from owing freely, hence the viscosity increases. The effect is seen more at lower shear rates as this is a small force.For larger particles, the settling force of gravity on the particles will overcome any repulsion of the particles due to the electrostatic charge / zeta potential. However, as these large particles can no longer fully aggregate (hydration layer), this close range, yet strong, Van der Waals attractive force can increase the low shear viscosity.For particles greater than a micron, i.e. dispersions, (where gravity now has a signi cant effect) at high concentration, decreasing the zeta potential towards the iso-electric point to take advantage of the secondary minimum can create a self supporting gel system to introduce a yield stress to the system.7For particles smaller than a micron, i.e. colloids, increasing the magnitude of the zeta potential (either +ive or ive) increases the lower shear viscosity. 6Smooth particles have a resistance to move as there is typically an association between the different particles, which is often a chemical interaction. However, with non-smooth particles there will also be a mechanical resistance, and also the chemical association can be increased. Therefore, non-smooth particles have higher low shear viscosity and a higher yield stress.Smoother particles have a lower low shear viscosity than those which are sharp/non-smooth (i.e. a lower convexity).8With spherical particles, there are typically particle-particle interactions which break down under shear to give a shear thinning behaviour. However, with elongated particles the random orientation leads to a higher barrier to start ow; an increase in low shear viscosity. However, under shear, these elongated particles can orient themselves to be streamlined with the direction of ow. They are therefore easier to ow, resulting in a lower shear viscosity than the spherical same size equivalent.With soft particles, a forced shear can change the shape of the particle. This can lead to the particles elongating and aligning under shear resulting in a more shear thinning system.

Particles which are elongated tend to have a higher low shear viscosity but a lower high shear viscosity than their more spherical size equivalents.9With particles of the same size, soft/deformable particles tend to have a more shear thinning behaviour than their hard/rigid equivalents.10 2009 MRK1236-02Malvern Instruments LimitedGrovewood Road Malvern Worcestershire UK WR14 1XZTelephone: +44 (0)1684 892456 Facsimile: +44 (0)1684 892789Malvern Instruments WorldwideSales and service centres in over 50 countries. For details visit www.malvern.com/contact Advanced technology made simpledistributor

detailsMalvern Instruments is part of Spectris plc, the Precision Instrumentation and Controls Company.All information supplied within is correct at time of publication, Malvern and the green hills logo are international Trade Marks owned by Malvern Instruments Ltd.We hope you find Ten Ways to..Control Rheology by Changing Particle Properties useful.This is one in a series of publications designed to help decision makers in your industry make more informed choices.